In this talk, we will discuss certain invariants of hypersurfaces defined via the Frobenius endomorphism in characteristic p. In addition to presenting lots of examples, we will also recall the relationship between these invariants and ones arising in the characteristic zero setting (e.g., log canonical thresholds and Bernstein-Sato polynomials). *Warning*: This talk will be more of an elementary, colloquium-style overview than a serious research talk, and will not be aimed towards experts. In particular, we hope to make it accessible to postdocs from both programs. Though we will discuss some recent results, we will probably not prove anything.